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11431321000 = 2353111736007
BaseRepresentation
bin10101010010101110…
…00001110110101000
31002111200001021102021
422221113001312220
5141402404233000
65130152514224
7553164424321
oct125127016650
932450037367
1011431321000
114936756730
1222703ab974
1311023b4288
147a62a9448
1546d88d11a
hex2a95c1da8

11431321000 has 128 divisors (see below), whose sum is σ = 29354607360. Its totient is φ = 4132128000.

The previous prime is 11431320983. The next prime is 11431321049. The reversal of 11431321000 is 12313411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899997 + ... + 1906003.

It is an arithmetic number, because the mean of its divisors is an integer number (229332870).

Almost surely, 211431321000 is an apocalyptic number.

11431321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11431321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677303680).

11431321000 is an abundant number, since it is smaller than the sum of its proper divisors (17923286360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11431321000 is a wasteful number, since it uses less digits than its factorization.

11431321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11431321000 its reverse (12313411), we get a palindrome (11443634411).

The spelling of 11431321000 in words is "eleven billion, four hundred thirty-one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 173 200 220 250 275 346 440 500 550 692 865 1000 1100 1375 1384 1730 1903 2200 2750 3460 3806 4325 5500 6007 6920 7612 8650 9515 11000 12014 15224 17300 19030 21625 24028 30035 34600 38060 43250 47575 48056 60070 66077 76120 86500 95150 120140 132154 150175 173000 190300 237875 240280 264308 300350 330385 380600 475750 528616 600700 660770 750875 951500 1039211 1201400 1321540 1501750 1651925 1903000 2078422 2643080 3003500 3303850 4156844 5196055 6007000 6607700 8259625 8313688 10392110 11431321 13215400 16519250 20784220 22862642 25980275 33038500 41568440 45725284 51960550 57156605 66077000 91450568 103921100 114313210 129901375 207842200 228626420 259802750 285783025 457252840 519605500 571566050 1039211000 1143132100 1428915125 2286264200 2857830250 5715660500 11431321000